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131102223100 = 225239712292687
BaseRepresentation
bin111101000011001001…
…1010010101011111100
3110112101201221222110121
41322012103102223330
54121444132114400
6140121051344324
712320556336532
oct1720623225374
9415351858417
10131102223100
1150666872712
12214a9a520a4
13c494353354
1464b9a26152
1536249d821a
hex1e864d2afc

131102223100 has 72 divisors (see below), whose sum is σ = 285546723840. Its totient is φ = 52246782720.

The previous prime is 131102223089. The next prime is 131102223181. The reversal of 131102223100 is 1322201131.

It is a super-2 number, since 2×1311022231002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48789957 + ... + 48792643.

It is an arithmetic number, because the mean of its divisors is an integer number (3965926720).

Almost surely, 2131102223100 is an apocalyptic number.

131102223100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131102223100 is an abundant number, since it is smaller than the sum of its proper divisors (154444500740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131102223100 is a wasteful number, since it uses less digits than its factorization.

131102223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4327 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 131102223100 its reverse (1322201131), we get a palindrome (132424424231).

The spelling of 131102223100 in words is "one hundred thirty-one billion, one hundred two million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 397 794 1229 1588 1985 2458 2687 3970 4916 5374 6145 7940 9925 10748 12290 13435 19850 24580 26870 30725 39700 53740 61450 67175 122900 134350 268700 487913 975826 1066739 1951652 2133478 2439565 3302323 4266956 4879130 5333695 6604646 9758260 10667390 12197825 13209292 16511615 21334780 24395650 26668475 33023230 48791300 53336950 66046460 82558075 106673900 165116150 330232300 1311022231 2622044462 5244088924 6555111155 13110222310 26220444620 32775555775 65551111550 131102223100